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8x-3y=38

3x-2y=-1

 May 13, 2016
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8x - 3y = 38

3x - 2y = -1

 

8x = 38 + 3y

3x = -1 + 2y

 

5x = 39 + y

 

2x = 40 - y

 

x = 20 - 0.5y

 

Substutute x with 20 - 0.5y because x = 20 - 0.5y

 

3x = -1 + 2y

3 × (20 - 0.5y) = -1 + 2y

60 - 1.5y = -1 + 2y              |    +1

60 - 1.5y + 1 = 2y

61 - 1.5y = 2y                      | +1.5 y

61 = 3.5y

y = 122/7

 

Substitute y with 122/7 because y  =122/7

x = 20 - 0.5y

x = 20 - 0.5 × 122/7

x = 20 - 61/7

x = (140-61)/7

x = 79/7

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Solution

x = 79/7

y = 122/7

 May 13, 2016

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